Sp(n)U(1)-connections with parallel totally skew-symmetric torsion |
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Institution: | Universität Greifswald, Institut für Mathemathik und Informatik, Friedrich-Ludwig-Jahn-Str. 15a, 17487 Greifswald, Germany |
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Abstract: | We consider the unique Hermitian connection with totally skew-symmetric torsion on a Hermitian manifold. We prove that if the torsion is parallel and the holonomy is , then the manifold is locally isomorphic to the twistor space of a quaternionic Kähler manifold with positive scalar curvature. If the manifold is complete, then it is globally isomorphic to such a twistor space. |
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